How to display woocommerce category products on store page?

Question

WooCommerce

It is necessary to display products by category on the store page. That is, the name of the category and under it several products of this category, below the next category name and under it several products, etc.
What plugin can eat? Found the "product sort and display" plugin. Everything seems to be clearly displayed, but when a new product is added, it is not displayed on the main page at the beginning of the category (although it is sorted by the latest one). If you go to the category there is a new product at the beginning as it should be. In general, not what you need. Suggest more options.